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Finding the Fourth Proportional to 23,991.24, 35,978.22 and 10,141.32

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Solution

The fourth proportional to 23,991.24, 35,978.22 and 10,141.32 is: 15,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,991.24 : 35,978.22 = 10,141.32 : x
  2. Step 2: Convert to fraction form
    23,991.24/35,978.22 = 10,141.32/x
  3. Step 3: Cross multiply
    23,991.24x = 35,978.22 × 10,141.32
  4. Step 4: Simplify right side
    23,991.24x = 364,866,642.05
  5. Step 5: Solve for x
    x = 364,866,642.05/23,991.24
  6. Step 6: Final answer
    x = 15,208.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.